Hungarian Algorithm Calculator Online

The Hungarian Algorithm Calculator is a powerful tool used to solve optimization problems known as the assignment problem. It finds the optimal assignment of tasks to resources, minimizing the total cost or maximizing the total profit. This calculator employs the Hungarian algorithm, a method that efficiently solves assignment problems by iteratively reducing the problem to a series of steps until an optimal assignment is achieved.

Formula of Hungarian Algorithm Calculator

Step5: Determine the smallest uncovered value (let it be k) and subtract it from all uncovered values. Then add it to all the values intersected by the lines. Return to step 3.

General Terms Table

TermDescription
AssignmentThe task of assigning resources to tasks in an optimal way.
OptimizationThe process of finding the best solution among alternatives.
AlgorithmA step-by-step procedure for solving a problem.
MatrixA rectangular array of numbers arranged in rows and columns.
CostThe value representing the expense or effort required.
OptimalThe best possible solution.

This table provides general terms related to the Hungarian Algorithm Calculator, helping users understand key concepts without needing to calculate each time .

Example of Hungarian Algorithm Calculator

T1T2T3
W1591
W21032
W3874

Using the Hungarian Algorithm Calculator, we can find the optimal assignment of workers to tasks. After calculation, the optimal assignment would be:

Most Common FAQs

Related calculators, leave a comment cancel reply.

  

assignment problem calculator hungarian



> Operation Research calculators
AtoZmath.com - Homework help (with all solution steps)
Secondary school, High school and College
Provide step by step solutions of your problems using online calculators (online solvers)
Your textbook, etc
Operation Research Calculators ( )

1.1
1.2
2.1
2.2
2.3
2.4
2.5
3.
0.
1.
2.
3.
4.
5.
6.
7.
8.
9.

1.
2.
3.
4.
5.
6.
7.
8.
9.
10.

1.
2.
3.


1.
2.
3.


1.
2.
3.


1.
2.
3.


1.
2.
3.

1. Processing n Jobs Through 2 Machines Problem
2. Processing n Jobs Through 3 Machines Problem
3. Processing n Jobs Through m Machines Problem
4. Processing 2 Jobs Through m Machines Problem

1. Model-1 : Replacement policy for items whose running cost increases with time and value of money remains constant during a period
1.1
1.2
1.3
2. : Replacement policy for items whose running cost increases with time but value of money changes constant rate during a period
3. : Group replacement policy
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
1.
2.
3.
4.
5.
6.
7.
Operation Research with example
Assignment Problem
1. A department has five employess with five jobs to be permormed. The time (in hours) each men will take to perform each job is given in the effectiveness matrix.
Employees
I II III IV V
Jobs A 10 5 113 15 16
B 3 9 18 13 6
C 10 7 2 2 2
D 7 11 9 7 12
E 7 9 10 4 12
2. In the modification of a plant layout of a factory four new machines M1, M2, M3 and M4 are to be installed in a machine shop. There are five vacant places A, B, C, D and E available. Because of limited space, machine M2 cannot be placed at C and M3 cannot be placed at A. The cost of locating a machine at a place (in hundred rupess) is as follows.
Location
A B C D E
Machine M1 9 11 15 10 11
M2 12 9 -- 10 9
M3 -- 11 14 11 7
M4 14 8 12 7 8





1. A travelling salesman has to visit five cities. He wishes to start from a particular city, visit each city only once and then return to his starting point. The travelling cost of each city from a particular city is given below.
To city
A B C D E
From city A x 2 5 7 1
B 6 x 3 8 2
C 8 7 x 4 7
D 12 4 6 x 5
E 1 3 2 8 x
1. Best-ride airlines that operates seven days a week has the following time-table.
Delhi - Mumbai Mumbai - Delhi
Flight No Departure Arrival
1 7.00 8.00
2 8.00 9.00
3 13.00 14.00
4 18.00 19.00
Flight No Departure Arrival
101 8.00 9.00
102 9.00 10.00
103 12.00 13.00
104 17.00 18.00
Simplex method
Solve the following LP problem by using









1. Use the simplex method to solve the following LP problem.
Maximize Z = 3x1 + 5x2 + 4x3
subject to the constraints
2x1 + 3x2 ≤ 8
2x2 + 5x3 ≤ 10
3x1 + 2x2 + 4x3 ≤ 15
and x1, x2, x3 ≥ 0

2. Use the simplex method to solve the following LP problem.
Maximize Z = 4x1 + 3x2
subject to the constraints
2x1 + x2 ≤ 1000
x1 + x2 ≤ 800
x1 ≤ 400
x2 ≤ 700
and x1, x2 ≥ 0
1. Use the penalty (Big - M) method to solve the following LP problem.
Minimize Z = 5x1 + 3x2
subject to the constraints
2x1 + 4x2 ≤ 12
2x1 + 2x2 = 10
5x1 + 2x2 ≥ 10
and x1, x2 ≥ 0

2. Use the penalty (Big - M) method to solve the following LP problem.
Minimize Z = x1 + 2x2 + 3x3 - x4
subject to the constraints
x1 + 2x2 + 3x3 = 15
2x1 + x2 + 5x3 = 20
x1 + 2x2 + x3 + x4 = 10
and x1, x2, x3, x4 ≥ 0
1. Solve the following LP problem by using the Two-Phase method.
Minimize Z = x1 + x2
subject to the constraints
2x1 + 4x2 ≥ 4
x1 + 7x2 ≥ 7
and x1, x2 ≥ 0

2. Solve the following LP problem by using the Two-Phase method.
Minimize Z = x1 - 2x2 - 3x3
subject to the constraints
-2x1 + 3x2 + 3x3 = 2
2x1 + 3x2 + 4x3 = 1
and x1, x2, x3 ≥ 0
1. Solve the following integer programming problem using Gomory's cutting plane algorithm.
Maximize Z = x1 + x2
subject to the constraints
3x1 + 2x2 ≤ 5
x2 ≤ 2
and x1, x2 ≥ 0 and are integers.

2. Solve the following integer programming problem using Gomory's cutting plane algorithm.
Maximize Z = 2x1 + 20x2 - 10x3
subject to the constraints
2x1 + 20x2 + 4x3 ≤ 15
6x1 + 20x2 + 4x3 ≤ 20
and x1, x2, x3 ≥ 0 and are integers.
1. Use graphical method to solve following LP problem.
Maximize Z = x1 + x2
subject to the constraints
3x1 + 2x2 ≤ 5
x2 ≤ 2
and x1, x2 ≥ 0

2. Use graphical method to solve following LP problem.
Maximize Z = 2x1 + x2
subject to the constraints
x1 + 2x2 ≤ 10
x1 + x2 ≤ 6
x1 - x2 ≤ 2
x1 - 2x2 ≤ 1
and x1, x2 ≥ 0
1. Write the dual to the following LP problem.
Maximize Z = x1 - x2 + 3x3
subject to the constraints
x1 + x2 + x3 ≤ 10
2x1 - x2 - x3 ≤ 2
2x1 - 2x2 - 3x3 ≤ 6
and x1, x2, x3 ≥ 0

2. Write the dual to the following LP problem.
Minimize Z = 3x1 - 2x2 + 4x3
subject to the constraints
3x1 + 5x2 + 4x3 ≥ 7
6x1 + x2 + 3x3 ≥ 4
7x1 - 2x2 - x3 ≤ 10
x1 - 2x2 + 5x3 ≥ 3
4x1 + 7x2 - 2x3 ≥ 2
and x1, x2, x3 ≥ 0
1. Solve the following LP problem by using Branch and Bound method
Max Z = 7x1 + 9x2
subject to
-x1 + 3x2 ≤ 6
7x1 + x2 ≤ 35
x2 ≤ 7
and x1,x2 ≥ 0

2. Solve the following LP problem by using Branch and Bound method
Max Z = 3x1 + 5x2
subject to
2x1 + 4x2 ≤ 25
x1 ≤ 8
2x2 ≤ 10
and x1,x2 ≥ 0

1. Solve LP using zero-one Integer programming problem method
Max Z = 300x1 + 90x2 + 400x3 + 150x4
subject to
35000x1 + 10000x2 + 25000x3 + 90000x4 ≤ 120000
4x1 + 2x2 + 7x3 + 3x4 ≤ 12
x1 + x2 ≤ 1
and x1,x2,x3,x4 ≥ 0

2. Solve LP using 0-1 Integer programming problem method
MAX Z = 650x1 + 700x2 + 225x3 + 250x4
subject to
700x1 + 850x2 + 300x3 + 350x4 ≤ 1200
550x1 + 550x2 + 150x3 + 200x4 ≤ 700
400x1 + 350x2 + 100x3 ≤ 400
x1 + x2 ≥ 1
-x3 + x4 ≤ 1
and x1,x2,x3,x4 ≥ 0
1. Solve the following LP problem by using Revised Simplex method
MAX Z = 3x1 + 5x2
subject to
x1 ≤ 4
x2 ≤ 6
3x1 + 2x2 ≤ 18
and x1,x2 ≥ 0

2. Solve the following LP problem by using Revised Simplex method
MAX Z = 2x1 + x2
subject to
3x1 + 4x2 ≤ 6
6x1 + x2 ≤ 3
and x1,x2 ≥ 0
Transportation Problem using









1. A Company has 3 production facilities S1, S2 and S3 with production capacity of 7, 9 and 18 units (in 100's) per week of a product, respectively. These units are tobe shipped to 4 warehouses D1, D2, D3 and D4 with requirement of 5,6,7 and 14 units (in 100's) per week, respectively. The transportation costs (in rupees) per unit between factories to warehouses are given in the table below.
D D D D Capacity
S 19 30 50 10 7
S 70 30 40 60 9
S 40 8 70 20 18
Demand 5 8 7 14 34
D D D D Supply
S 11 13 17 14 250
S 16 18 14 10 300
S 21 24 13 10 400
Demand 200 225 275 250
3. A company has factories at F1, F2 and F3 which supply to warehouses at W1, W2 and W3. Weekly factory capacities are 200, 160 and 90 units, respectively. Weekly warehouse requiremnet are 180, 120 and 150 units, respectively. Unit shipping costs (in rupess) are as follows:
W W W Supply
F 16 20 12 200
F 14 8 18 160
F 26 24 16 90
Demand 180 120 150 450
P Q R S Supply
A 6 3 5 4 22
B 5 9 2 7 15
C 5 7 8 6 8
Demand 7 12 17 9 45
4.
1. An assembly is to be made from two parts X and Y. Both parts must be turned on a lathe Y must be polished where as X need not be polished. The sequence of acitivities, together with their predecessors, is given below
Activity Description Predecessor Activity
A Open work order -
B Get material for X A
C Get material for Y A
D Turn X on lathe B
E Turn Y on lathe B,C
F Polish Y E
G Assemble X and Y D,F
H Pack G
2. An established company has decided to add a new product to its line. It will buy the product from a manufacturing concern, package it, and sell it to a number of distributors that have been selected on a geographical basis. Market research has already indicated the volume expected and the size of sales force required. The steps shown in the following table are to be planned.
Activity Description Predecessor Activity Duration (days)
A Organize sales office - 6
B Hire salesman A 4
C Train salesman B 7
D Select advertising agency A 2
E Plan advertising campaign D 4
F Conduct advertising campaign E 10
G Design package - 2
H Setup packaging campaign G 10
I Package initial stocks J,H 6
J Order stock from manufacturer - 13
K Select distributors A 9
L Sell to distributors C,K 3
M Ship stocks to distributors I,L 5
5.
1. There are seven jobs, each of which has to go through the machines A and B in the order AB. Processing times in hours are as follows.
Job 1 2 3 4 5 6 7
Machine A 3 12 15 6 10 11 9
Machine B 8 10 10 6 12 1 3
2. Find the sequence that minimizes the total time required in performing the following job on three machines in the order ABC. Processing times (in hours) are given in the following table.
Job 1 2 3 4 5
Machine A 8 10 6 7 11
Machine B 5 6 2 3 4
Machine C 4 9 8 6 5
6.
1. A firm is considering the replacement of a machine, whose cost price is Rs 12,200 and its scrap value is Rs 200. From experience the running (maintenance and operating) costs are found to be as follows:
Year12345678
Running Cost2005008001,2001,8002,5003,2004,000
1. The data collected in running a machine, the cost of which is Rs 60,000 are given below:
Year12345
Resale Value42,00030,00020,40014,4009,650
Cost of spares4,0004,2704,8805,7006,800
Cost of labour14,00016,00018,00021,00025,000
1. Machine A costs Rs 45,000 and its operating costs are estimated to be Rs 1,000 for the first year increasing by Rs 10,000 per year in the second and subsequent years. Machine B costs Rs 50,000 and operating costs are Rs 2,000 for the first year, increasing by Rs 4,000 in the second and subsequent years. If at present we have a machine of type A, should we replace it with B? if so when? Assume that both machines have no resale value and their future costs are not discounted.

Replacement policy for items whose running cost increases with time but value of money changes constant rate during a period
1. An engineering company is offered a material handling equipment A. It is priced at Rs 60,000 includeing cost of installation. The costs for operation and maintenance are estimated to be Rs 10,000 for each of the first five years, increasing every year by Rs 3,000 in the sixth and subsequent years. The company expects a return of 10 percent on all its investment. What is the optimal replacement period?
Year1234567
Running Cost10,00010,00010,00010,00010,00013,00016,000

Group replacement policy
1. A computer contains 10,000 resistors. When any resistor fails, it is replaced. The cost of replacing a resistor individually is Rs 1 only. If all the resistors are replaced at the same time, the cost per resistor would be reduced to 35 paise. The percentage of surviving resistors say S(t) at the end of month t and the probability of failure P(t) during the month t are as follows:
t0123456
P(t)00.030.070.200.400.150.15
t012345
P(t)00.050.100.200.400.25











1. For the game with payoff matrix
Player `B`
`B_1``B_2``B_3`
Player `A``A_1` -1  2  -2 
`A_2` 6  4  -6 
1. Dominance Example
Player `B`
`B_1``B_2``B_3``B_4`
Player `A``A_1` 3  5  4  2 
`A_2` 5  6  2  4 
`A_3` 2  1  4  0 
`A_4` 3  3  5  2 
1. Find the solution of game using algebraic method for the following pay-off matrix
Player `B`
`B_1``B_2`
Player `A``A_1` 1  7 
`A_2` 6  2 
1. Find the solution of game using calculus method for the following pay-off matrix
Player `B`
`B_1``B_2`
Player `A``A_1` 1  3 
`A_2` 5  2 
1. Find the solution of game using arithmetic method for the following pay-off matrix
Player `B`
`B_1``B_2``B_3`
Player `A``A_1` 10  5  -2 
`A_2` 13  12  15 
`A_3` 16  14  10 
1. Find the solution of game using matrix method for the following pay-off matrix
Player `B`
`B_1``B_2``B_3`
Player `A``A_1` 1  7  2 
`A_2` 6  2  7 
`A_3` 5  1  6 
1. Find the solution of game using 2Xn Games method for the following pay-off matrix
Player `B`
`B_1``B_2`
Player `A``A_1` -3  4 
`A_2` -1  1 
`A_3` 7  -2 
1. Find the solution of game using graphical method method for the following pay-off matrix
Player `B`
`B_1``B_2`
Player `A``A_1` 1  -3 
`A_2` 3  5 
`A_3` -1  6 
`A_4` 4  1 
`A_5` 2  2 
`A_6` -5  0 
1. Find the solution of game using linear programming method for the following pay-off matrix
Player `B`
`B_1``B_2``B_3`
Player `A``A_1` 3  -4  2 
`A_2` 1  -7  -3 
`A_3` -2  4  7 

assignment problem calculator hungarian

assignment problem calculator hungarian

HMLA logo

Online Calculator: Hungarian Method

assignment problem calculator hungarian

Game Theory

Simplex Method

Simplex Method

Hungarian Method

Hungarian Method

Potential Method

Potential Method

Dual Simplex

Dual Simplex

Traveling Salesman Problem

Traveling Salesman Problem

Dynamic Programming

Dynamic Programming

Mobile app:

Hungarian

Solve linear programming tasks offline!

Google Play Icon

easycalculation.com

Job / Work Assignment Problem Calculation

Consider there are 3 jobs, should be assigned to 3 workers (one job to each). The cost of assigning the jobs are :

Jobs/Man J1 J2 J3
M1 52 19 20
M2 8 83 24
M3 42 35 89

Subtract row minima, Subtract the minimum value of the row from other values.

Jobs/Man J1 J2 J3 Row Minima
M1 33 0 1 -19
M2 0 75 16 -8
M3 7 0 54 -35

Subtract column minima, Subtract the minimum value of the column from other values.

Jobs/Man J1 J2 J3
M1 33 0 0
M2 0 75 15
M3 7 0 53
Col. Minima -1

Cover all zeros with a minimum number of lines,

Jobs/Man J1 J2 J3
M1 33 0 0
M2 0 75 15
M3 7 0 53

Choose zero's

Apply the selection to the original matrix, that will be the jobs assigned to them and adding cost of all assigned jobs will be the minimum cost.

Job Assignment Problem with concept of Hungarian algorithm is made easier here.

Related Calculators:

  • Job Sequencing Problem
  • Inventory Control Model
  • Minimum Transportation Cost Calculator Using North West Corner Method
  • Vogel Approximation Method
  • Drake Equation Calculator
  • Hollow Rectangular Beam Deflection Calculator

Calculators and Converters

  • Calculators
  • Operations Research

Top Calculators

Popular calculators.

  • Derivative Calculator
  • Inverse of Matrix Calculator
  • Compound Interest Calculator
  • Pregnancy Calculator Online

Top Categories

Assignment Problem Calculator

cost/task task 1 task 2 task 3
worker 1 85 58 41
worker 2 54 82 95
worker 3 92 72 98

The valid input data of assigning $n$ tasks to $n$ workers is in the form of $n\times n$ cost matrix $C$ of nonnegative integer numbers, see Matrix Data Input for more detail of entering matrix data. The element $C_{ij}$ is the cost of assigning task $j$ to worker $i$.

Hungarian Method

Class Registration Banner

The Hungarian method is a computational optimization technique that addresses the assignment problem in polynomial time and foreshadows following primal-dual alternatives. In 1955, Harold Kuhn used the term “Hungarian method” to honour two Hungarian mathematicians, Dénes Kőnig and Jenő Egerváry. Let’s go through the steps of the Hungarian method with the help of a solved example.

Hungarian Method to Solve Assignment Problems

The Hungarian method is a simple way to solve assignment problems. Let us first discuss the assignment problems before moving on to learning the Hungarian method.

What is an Assignment Problem?

A transportation problem is a type of assignment problem. The goal is to allocate an equal amount of resources to the same number of activities. As a result, the overall cost of allocation is minimised or the total profit is maximised.

Because available resources such as workers, machines, and other resources have varying degrees of efficiency for executing different activities, and hence the cost, profit, or loss of conducting such activities varies.

Assume we have ‘n’ jobs to do on ‘m’ machines (i.e., one job to one machine). Our goal is to assign jobs to machines for the least amount of money possible (or maximum profit). Based on the notion that each machine can accomplish each task, but at variable levels of efficiency.

Hungarian Method Steps

Check to see if the number of rows and columns are equal; if they are, the assignment problem is considered to be balanced. Then go to step 1. If it is not balanced, it should be balanced before the algorithm is applied.

Step 1 – In the given cost matrix, subtract the least cost element of each row from all the entries in that row. Make sure that each row has at least one zero.

Step 2 – In the resultant cost matrix produced in step 1, subtract the least cost element in each column from all the components in that column, ensuring that each column contains at least one zero.

Step 3 – Assign zeros

  • Analyse the rows one by one until you find a row with precisely one unmarked zero. Encircle this lonely unmarked zero and assign it a task. All other zeros in the column of this circular zero should be crossed out because they will not be used in any future assignments. Continue in this manner until you’ve gone through all of the rows.
  • Examine the columns one by one until you find one with precisely one unmarked zero. Encircle this single unmarked zero and cross any other zero in its row to make an assignment to it. Continue until you’ve gone through all of the columns.

Step 4 – Perform the Optimal Test

  • The present assignment is optimal if each row and column has exactly one encircled zero.
  • The present assignment is not optimal if at least one row or column is missing an assignment (i.e., if at least one row or column is missing one encircled zero). Continue to step 5. Subtract the least cost element from all the entries in each column of the final cost matrix created in step 1 and ensure that each column has at least one zero.

Step 5 – Draw the least number of straight lines to cover all of the zeros as follows:

(a) Highlight the rows that aren’t assigned.

(b) Label the columns with zeros in marked rows (if they haven’t already been marked).

(c) Highlight the rows that have assignments in indicated columns (if they haven’t previously been marked).

(d) Continue with (b) and (c) until no further marking is needed.

(f) Simply draw the lines through all rows and columns that are not marked. If the number of these lines equals the order of the matrix, then the solution is optimal; otherwise, it is not.

Step 6 – Find the lowest cost factor that is not covered by the straight lines. Subtract this least-cost component from all the uncovered elements and add it to all the elements that are at the intersection of these straight lines, but leave the rest of the elements alone.

Step 7 – Continue with steps 1 – 6 until you’ve found the highest suitable assignment.

Hungarian Method Example

Use the Hungarian method to solve the given assignment problem stated in the table. The entries in the matrix represent each man’s processing time in hours.

\(\begin{array}{l}\begin{bmatrix} & I & II & III & IV & V \\1 & 20 & 15 & 18 & 20 & 25 \\2 & 18 & 20 & 12 & 14 & 15 \\3 & 21 & 23 & 25 & 27 & 25 \\4 & 17 & 18 & 21 & 23 & 20 \\5 & 18 & 18 & 16 & 19 & 20 \\\end{bmatrix}\end{array} \)

With 5 jobs and 5 men, the stated problem is balanced.

\(\begin{array}{l}A = \begin{bmatrix}20 & 15 & 18 & 20 & 25 \\18 & 20 & 12 & 14 & 15 \\21 & 23 & 25 & 27 & 25 \\17 & 18 & 21 & 23 & 20 \\18 & 18 & 16 & 19 & 20 \\\end{bmatrix}\end{array} \)

Subtract the lowest cost element in each row from all of the elements in the given cost matrix’s row. Make sure that each row has at least one zero.

\(\begin{array}{l}A = \begin{bmatrix}5 & 0 & 3 & 5 & 10 \\6 & 8 & 0 & 2 & 3 \\0 & 2 & 4 & 6 & 4 \\0 & 1 & 4 & 6 & 3 \\2 & 2 & 0 & 3 & 4 \\\end{bmatrix}\end{array} \)

Subtract the least cost element in each Column from all of the components in the given cost matrix’s Column. Check to see if each column has at least one zero.

\(\begin{array}{l}A = \begin{bmatrix}5 & 0 & 3 & 3 & 7 \\6 & 8 & 0 & 0 & 0 \\0 & 2 & 4 & 4 & 1 \\0 & 1 & 4 & 4 & 0 \\2 & 2 & 0 & 1 & 1 \\\end{bmatrix}\end{array} \)

When the zeros are assigned, we get the following:

Hungarian Method

The present assignment is optimal because each row and column contain precisely one encircled zero.

Where 1 to II, 2 to IV, 3 to I, 4 to V, and 5 to III are the best assignments.

Hence, z = 15 + 14 + 21 + 20 + 16 = 86 hours is the optimal time.

Practice Question on Hungarian Method

Use the Hungarian method to solve the following assignment problem shown in table. The matrix entries represent the time it takes for each job to be processed by each machine in hours.

\(\begin{array}{l}\begin{bmatrix}J/M & I & II & III & IV & V \\1 & 9 & 22 & 58 & 11 & 19 \\2 & 43 & 78 & 72 & 50 & 63 \\3 & 41 & 28 & 91 & 37 & 45 \\4 & 74 & 42 & 27 & 49 & 39 \\5 & 36 & 11 & 57 & 22 & 25 \\\end{bmatrix}\end{array} \)

Stay tuned to BYJU’S – The Learning App and download the app to explore all Maths-related topics.

Frequently Asked Questions on Hungarian Method

What is hungarian method.

The Hungarian method is defined as a combinatorial optimization technique that solves the assignment problems in polynomial time and foreshadowed subsequent primal–dual approaches.

What are the steps involved in Hungarian method?

The following is a quick overview of the Hungarian method: Step 1: Subtract the row minima. Step 2: Subtract the column minimums. Step 3: Use a limited number of lines to cover all zeros. Step 4: Add some more zeros to the equation.

What is the purpose of the Hungarian method?

When workers are assigned to certain activities based on cost, the Hungarian method is beneficial for identifying minimum costs.

MATHS Related Links

Leave a Comment Cancel reply

Your Mobile number and Email id will not be published. Required fields are marked *

Request OTP on Voice Call

Post My Comment

assignment problem calculator hungarian

Register with BYJU'S & Download Free PDFs

Register with byju's & watch live videos.

Bonanza Offer FLAT 20% off & $20 sign up bonus Order Now

Error goes here

Files Missing!

Please upload all relevant files for quick & complete assistance.

To Improve Your Grade We Always Ready To Help You

Assignment problem calculator - get all solutions.

60,000+ Completed Assignments

3000+ PhD Experts

100+ Subjects

Assignment Problem Calculator

Are you stuck with the Hungarian method problem sum and looking for an ideal assignment problem calculator, take a look here. MyAssignmenthelp.co.uk is all set to back you up with an  online Hungarian algorithm calculator  for the finest of all solutions. 

If you are wondering how the  Hungarian algorithm calculator tool works, take some time out to analyze and explore what we have got in store for you. 

Looking For Assignment Problem Calculator?

Place Your Order and Get $20 Signup Bonus

How You Can Solve Assignments Using Hungarian Algorithm Method

Solving assignment with the Hungarian algorithm method gets twice easier with MyAssignmenthelp.co.uk . College Assignment problems come in different shapes and forms. In this context, the Hungarian problem sums get a special mention. The Hungarian method is basically implemented by finding the minimum number in each row and subtracting it from all elements in the row. Now, this isn't an easy drill. There are a lot of factors associated with the same. 

Here's how you can solve assignments by implementing the Hungarian algorithm method like a pro. 

  • Focus on the primary problem or the key question associated with the assignment demanding the Hungarian algorithm implementation. 
  • All you need to do is nothing but subtract the lowest cost element in each row from all of the elements included in the given cost matrix's row. 
  • Now, you have to make sure that each row at least has one zero. 
  • Once done, subtract the least cost element in each column from all of the components in the cost Matrix's column. 
  • Now, recheck the entire equation and look for any potential flaw which you might consider rectifying. 

In case you would still wonder how to solve such assignment problems, lean on us. We have the best  instant assignment problem calculator  at your disposal. So, think no more and take a smart call instead. All it takes is a few clicks, and you will have flawless assignment help solutions on your screen, ready to be downloaded. 

Get Assignment Help Solutions

Assignment Problem Calculator - How does it Work?

We understand that signing up for a completely new assignment problem calculator might be a bit sceptical for you. No worries, we are here to provide you with the right guide and understanding of how our  Hungarian algorithm calculator  works. 

Here's everything you must know. 

  • Arrange the right figures and other essential elements you would need for the equation. 
  • Choose the method you would like to implement across the equation. 
  • Type your data either with a heading or without a heading. 
  • For separator, you can simply use space or tab. 
  • In addition, you get to choose from two options; minimize or maximize. 
  • Lastly, click "enter" and wait for the Hungarian assignment problem calculator to display flawless results on your screen. 

So, without much ado, connect with us at the earliest, and start using the super-fast and advanced assignment problem calculator for smart solutions on the go. 

Hire An Expert

Pay to Get Our Online Tool

How does hungarian algorithm calculator work for linear assignment problems.

Are you stuck with the intricacies of linear assignments? Looking for the perfect tool that can keep such complications at bay? How about using our  assignment problem calculator ? The smart and advanced academic tool is right here to solve all forms of equational challenges for you. 

If you wish to know how it works, take a look here. 

  • Sort all the linear equation elements carefully. 
  • Insert the same in the tool dialogue box. 
  • Now, check and confirm whether the insertions are perfectly flawless. 
  • Click on the "enter" or "generate solution" option and allow the assignment problem calculator   to solve your  linear math assignment problems  in no time. 

Isn't that smart and simple? So, don't remain in two minds and start investing productive hours using our assignment problem calculator for brilliantly derived solutions in only a few minutes. 

Get Benefits with MyAssignmenthelp.co.uk's Assignment Problem Calculator

We have a myriad of incredible benefits and exclusive perks that you can enjoy while using our advanced assignment problem calculator. Already excited to figure out the amazing perks you are entitled to avail yourself? 

Here's all you need to know. 

  • The free assignment problem calculator offers a smart and agile user interface. 
  • The  free Hungarian algorithm calculator tool  checks for equational accuracy across hundreds and thousands of databases. 
  • The tool is designed to  solve assignment problems  with 100% theoretical and referential accuracy so that you don't ever have to face the downsides of wrong solutions. 
  • Moreover, signing up with MyAssignmenthelp.co.uk will allow you to gain easy access to academic blogs and samples for future references. 

So, start using our  assignment problem solver  and put aside your academic worries. Get in touch with us today. 

FAQ On Assignment Problem Calculator

  • What is Hungarian Method?

The Hungarian method is referred to as a combinatorial optimization technique that essentially solves the assignment problems in polynomial time.

  • What are the steps involved in the Hungarian method?

Here are the steps involved in the Hungarian method.

  • You need to subtract the smallest entry in each row from all the entries of its row.
  • Now subtract the smallest in each column from all the entries of its column.
  • You need to cover all zero entries by drawing a line through appropriate rows and columns.
  •  Cover all zeroes with a minimum number of lines and create additional zeroes as well. 
  • What is the purpose of the Hungarian method?

The Hungarian method is implemented to find the minimum cost across assignment problems that involve assigning people to activities. 

Upload your Assignment and improve Your Grade

Thank you for Subscribe to us

You will receive a confirmation email shortly in your subscribe email address.

Thank you for contact to us

You will receive a email shortly in your email address.

  • Data Structures
  • Linked List
  • Binary Tree
  • Binary Search Tree
  • Segment Tree
  • Disjoint Set Union
  • Fenwick Tree
  • Red-Black Tree
  • Advanced Data Structures

Hungarian Algorithm for Assignment Problem | Set 1 (Introduction)

hungarian1

  • For each row of the matrix, find the smallest element and subtract it from every element in its row.
  • Do the same (as step 1) for all columns.
  • Cover all zeros in the matrix using minimum number of horizontal and vertical lines.
  • Test for Optimality: If the minimum number of covering lines is n, an optimal assignment is possible and we are finished. Else if lines are lesser than n, we haven’t found the optimal assignment, and must proceed to step 5.
  • Determine the smallest entry not covered by any line. Subtract this entry from each uncovered row, and then add it to each covered column. Return to step 3.
Try it before moving to see the solution

Explanation for above simple example:

  An example that doesn’t lead to optimal value in first attempt: In the above example, the first check for optimality did give us solution. What if we the number covering lines is less than n.

                                           
 
                                                                            
   
                                                     

Time complexity : O(n^3), where n is the number of workers and jobs. This is because the algorithm implements the Hungarian algorithm, which is known to have a time complexity of O(n^3).

Space complexity :   O(n^2), where n is the number of workers and jobs. This is because the algorithm uses a 2D cost matrix of size n x n to store the costs of assigning each worker to a job, and additional arrays of size n to store the labels, matches, and auxiliary information needed for the algorithm.

In the next post, we will be discussing implementation of the above algorithm. The implementation requires more steps as we need to find minimum number of lines to cover all 0’s using a program. References: http://www.math.harvard.edu/archive/20_spring_05/handouts/assignment_overheads.pdf https://www.youtube.com/watch?v=dQDZNHwuuOY

Please Login to comment...

Similar reads.

  • Mathematical

Improve your Coding Skills with Practice

 alt=

What kind of Experience do you want to share?

Last day of the OFFER FLAT 20% off & $20 sign up bonus Order Now

Last day of the offer FLAT 20% off & $20 sign up bonus

Assignment Problem Calculator

Get Rid of All Your Assignment Problems by Using Hungarian Algorithm Calculator

To get the grade from your tutor or your money back!

Files Missing!

Please upload all relevant files for quick & complete assistance.

Assignment Problem Calculator Tool

Select your problem type.

Students need to solve a lot of problems as part of their academic careers. Therefore, it is necessary to know the best ways to solve such problems and score well. If you are struggling with the assignment problems, sign up with Assignmenthelp.us and use our assignment problem calculator to sail through them. It is important to understand the significance of the assignments and work on them properly. Assignmenthelp.us has everything in place to help students overcome all odds.

It is necessary to know how our assignment problem calculator works and how it will help you solve complex problems. We will take you through the processes and perks of using our assignment problem calculator in the next few sections.

How Does Our Assignment Problem Calculator Work?

Assignmenthelp.us is well-known for providing the best assistance to students. You will get all the resources to solve assignment problems and bag the best grades. It is necessary to know how our online assignment problem calculator works. Most students look for the perfect solutions instantly but fail to understand how the tool works. We keep things easy and simple.

Searching for High-Quality Assignment Help?

Get $20 Signup Bonus

Here’s how you can use our assignment problem calculator and get an instant solution:

  • Enter the cost matrix
  • Enter either min or max
  • Click on “Calculate”

It is easy to get the solution and grab the perfect A+ when you start using the best Hungarian algorithm calculator . Be assured of getting accurate solutions once you use the assignment problem calculator on Assignmenthelp.us.

You will be able to avoid the long process of solving assignment problems once you start using the automated tool on our website. So, sign up with us and race ahead of others without worries.

Solve Assignment Problems with the Help of the Hungarian Algorithm Calculator

Assignment problems can be too complicated, and you might not be able to solve them. Before you give up, sign up with Assignmenthelp.us and use our Hungarian algorithm calculator. We provide the best assistance with complex assignment problems and help students get instant solutions. Many students have used our assignment problem calculator and have got accurate results.

The Hungarian algorithm calculator can do the trick and help you solve assignment problems quickly . We know how to help you overcome all odds and take you through complicated problems. The Hungarian algorithm method is easy, but it might seem complicated if you don't know it well.

Here’s a look into the method for better understanding:

  • Subtract row minima
  • Subtract column minima
  • Cover all zeroes with a minimum number of lines
  • Create additional zeroes

Using our assignment problem calculator will help you understand the steps and learn how to solve complex assignment problems . The tool provides step-by-step solutions to the problems and has helped students understand the processes easily. Hence, don’t hesitate to use the tool. Ask one of our representatives for help if you face any difficulties.

Need Help with Academic Assignments? Place your Assignment Order to Get a Custom Answer

Why Assignmenthelp.us Assignment Problem Calculator is the Best?

You will come across several websites offering the best service of an assignment problem calculator. Before you decide, look into the benefits and choose the best. Assignmenthelp.us understands the essence of the projects and has designed the tool to help you overcome all odds and bag the best grades.

If you are wondering why the online assignment problem calculator on our website is the best, here’s an answer to your questions:

  • Free of Cost

You can get your assignment problems solved without spending a single penny. Yes, using the assignment problem calculator on Assignmenthelp.us is free. You can use it any time and get desired results to sail through the projects.

  • Instant Results

A major concern among students is with time. The assignments must be submitted on time, and you cannot wait for long. So, if the deadlines are near and you need to solve assignment problems, switch to assignment problem calculator on Assignmenthelp.us and get instant results.

  • Easy to Use

Unlike the assignment problem calculators  on other websites, you can be assured of getting accurate results without putting in much effort on Assignmenthelp.us. Our assignment problem calculator is easy to use and can easily take you through any assignment problem.

Use our Hungarian algorithm calculator without having any second thoughts. We can assure perfect results for your assignment problems. Call or drop a mail to get the right assistance with the tool.

Main Advantages of Assignmenthelp.us

? Academic Level

1500+ Ph.D Qualified Writers

✅ Originality

Guaranteed Plagiarism-free

? Support

Dedicated Customer Service

☝️ Safe Payments

Secure SSL encryption

❎ No Hidden Charges

Without extra fees

How Does Our Assignment Problem Calculator work on Hungarian Algorithm Method?

Our assignment problem calculator is designed to solve assignment problems using Hungarian algorithm method . Students look for assistance with problems and instant results. You can be assured of getting flawless solutions and the perfect A+ once you sign up with us.

The Hungarian algorithm method is not easy to understand. So, it is essential to learn the best ways to solve the problems, and our assignment problem calculator gives you the chance to do the same. The tool will give you step-by-step solutions to assignment problems for a better understanding of the process.

We have designed the tool to help students get the work done correctly and properly implement the Hungarian algorithm method . Hence, don’t step back from using our assignment problem calculator. Use it and sail through complex assignment problems easily.

Looking for High-Quality Assignment Help?

Most popular assignment problem questions asked by students, q. which is the best tool/calculator to solve assignment problems.

The assignment problem calculator on Assignmenthelp.us is the best tool/calculator to solve assignment problems. Our tool follows the right methods and provides step-by-step solutions to all assignment problems . It helps students learn the process well and grab the best grades.

Q. How to fix an assignment problem using a Hungarian algorithm calculator?

It is easy to solve an assignment problem using the Hungarian algorithm calculator on Assignmenthelp.us. We have designed the tool to help students get the necessary assistance with the projects and bag the best grades.

So, when you look for help with assignments, here’s what you must do:

  • Sign up with Assignmenthelp.us
  • Click to use the Hungarian algorithm calculator
  • Enter your problem
  • Get the results

It is as easy as it sounds. You can get the perfect solutions once you switch to Assignmenthelp.us for help.

Q. Which algorithm is used to solve assignment problems?

The Hungarian algorithm method is used to solve assignment problems . You will come across various questions and might not be able to comprehend all of them. It is essential to learn the Hungarian algorithm method to sail through them. Using an assignment problem calculator on Assignmenthelp.us will be helpful.

Q. What is Hungarian algorithm method for solving assignment problems?

Follow these steps to solve assignment problems using the Hungarian algorithm method:

  • Subtract the row minima from each row
  • Subtract the column minimum from each column from the reduced matrix
  • Assign one “0” to each row and column
  • Tick all unassigned rows

expert

Pay to Get Your Assignments Done on Time

Rate my paper.

typer

Free Paraphrasing Tool

tool search

24X7 LIVE SUPPORT

Live

Lowest Price Guarantee

Dollar

100% Money Back Guarantee

earn money

Refer A Friend

Connect with us and start multiplying your earnings like a boss!

Not sure yet?

Get in touch with us or

get free price quote .

Thank you for Subscribe to us

Thank you for Subscribe us. You will receive a confirmation email shortly in your subscribe email address.

Have any Query? Contact with us

You will receive a confirmation email shortly in your subscribe email address.

You have already subscribed our newsletter.

Hungarian Method Examples

Now we will examine a few highly simplified illustrations of Hungarian Method for solving an assignment problem .

Later in the chapter, you will find more practical versions of assignment models like Crew assignment problem , Travelling salesman problem , etc.

Example-1, Example-2

Example 1: Hungarian Method

The Funny Toys Company has four men available for work on four separate jobs. Only one man can work on any one job. The cost of assigning each man to each job is given in the following table. The objective is to assign men to jobs in such a way that the total cost of assignment is minimum.

Job
Person 1 2 3 4
A 20 25 22 28
B 15 18 23 17
C 19 17 21 24
D 25 23 24 24

This is a minimization example of assignment problem . We will use the Hungarian Algorithm to solve this problem.

Identify the minimum element in each row and subtract it from every element of that row. The result is shown in the following table.

"A man has one hundred dollars and you leave him with two dollars, that's subtraction." -Mae West

On small screens, scroll horizontally to view full calculation

Job
Person 1 2 3 4
A 0 5 2 8
B 0 3 8 2
C 2 0 4 7
D 2 0 1 1

Identify the minimum element in each column and subtract it from every element of that column.

Job
Person 1 2 3 4
A 0 5 1 7
B 0 3 7 1
C 2 0 3 6
D 2 0 0 0

Make the assignments for the reduced matrix obtained from steps 1 and 2 in the following way:

  • For every zero that becomes assigned, cross out (X) all other zeros in the same row and the same column.
  • If for a row and a column, there are two or more zeros and one cannot be chosen by inspection, choose the cell arbitrarily for assignment.

An optimal assignment is found, if the number of assigned cells equals the number of rows (and columns). In case you have chosen a zero cell arbitrarily, there may be alternate optimal solutions. If no optimal solution is found, go to step 5.

Use Horizontal Scrollbar to View Full Table Calculation

Job
Person 1 2 3 4
A 5 1 7
B 3 7 1
C 2 3 6
D 2

Draw the minimum number of vertical and horizontal lines necessary to cover all the zeros in the reduced matrix obtained from step 3 by adopting the following procedure:

  • Mark all the rows that do not have assignments.
  • Mark all the columns (not already marked) which have zeros in the marked rows.
  • Mark all the rows (not already marked) that have assignments in marked columns.
  • Repeat steps 5 (ii) and (iii) until no more rows or columns can be marked.
  • Draw straight lines through all unmarked rows and marked columns.

You can also draw the minimum number of lines by inspection.

Select the smallest element (i.e., 1) from all the uncovered elements. Subtract this smallest element from all the uncovered elements and add it to the elements, which lie at the intersection of two lines. Thus, we obtain another reduced matrix for fresh assignment.

Job
Person 1 2 3 4
A 0 4 0 6
B 0 2 6 0
C 3 0 3 6
D 3 0 0 0

Now again make the assignments for the reduced matrix.

Final Table: Hungarian Method

Job
Person 1 2 3 4
A 4 6
B 2 6
C 3 3 6
D 3

Since the number of assignments is equal to the number of rows (& columns), this is the optimal solution.

The total cost of assignment = A1 + B4 + C2 + D3

Substituting values from original table: 20 + 17 + 17 + 24 = Rs. 78.

Share This Article

Operations Research Simplified Back Next

Goal programming Linear programming Simplex Method Transportation Problem

Procedure, Example Solved Problem | Operations Research - Solution of assignment problems (Hungarian Method) | 12th Business Maths and Statistics : Chapter 10 : Operations Research

Chapter: 12th business maths and statistics : chapter 10 : operations research.

Solution of assignment problems (Hungarian Method)

First check whether the number of rows is equal to the numbers of columns, if it is so, the assignment problem is said to be balanced.

Step :1 Choose the least element in each row and subtract it from all the elements of that row.

Step :2 Choose the least element in each column and subtract it from all the elements of that column. Step 2 has to be performed from the table obtained in step 1.

Step:3 Check whether there is atleast one zero in each row and each column and make an assignment as follows.

assignment problem calculator hungarian

Step :4 If each row and each column contains exactly one assignment, then the solution is optimal.

Example 10.7

Solve the following assignment problem. Cell values represent cost of assigning job A, B, C and D to the machines I, II, III and IV.

assignment problem calculator hungarian

Here the number of rows and columns are equal.

∴ The given assignment problem is balanced. Now let us find the solution.

Step 1: Select a smallest element in each row and subtract this from all the elements in its row.

assignment problem calculator hungarian

Look for atleast one zero in each row and each column.Otherwise go to step 2.

Step 2: Select the smallest element in each column and subtract this from all the elements in its column.

assignment problem calculator hungarian

Since each row and column contains atleast one zero, assignments can be made.

Step 3 (Assignment):

assignment problem calculator hungarian

Thus all the four assignments have been made. The optimal assignment schedule and total cost is

assignment problem calculator hungarian

The optimal assignment (minimum) cost

Example 10.8

Consider the problem of assigning five jobs to five persons. The assignment costs are given as follows. Determine the optimum assignment schedule.

assignment problem calculator hungarian

∴ The given assignment problem is balanced.

Now let us find the solution.

The cost matrix of the given assignment problem is

assignment problem calculator hungarian

Column 3 contains no zero. Go to Step 2.

assignment problem calculator hungarian

Thus all the five assignments have been made. The Optimal assignment schedule and total cost is

assignment problem calculator hungarian

The optimal assignment (minimum) cost = ` 9

Example 10.9

Solve the following assignment problem.

assignment problem calculator hungarian

Since the number of columns is less than the number of rows, given assignment problem is unbalanced one. To balance it , introduce a dummy column with all the entries zero. The revised assignment problem is

assignment problem calculator hungarian

Here only 3 tasks can be assigned to 3 men.

Step 1: is not necessary, since each row contains zero entry. Go to Step 2.

assignment problem calculator hungarian

Step 3 (Assignment) :

assignment problem calculator hungarian

Since each row and each columncontains exactly one assignment,all the three men have been assigned a task. But task S is not assigned to any Man. The optimal assignment schedule and total cost is

assignment problem calculator hungarian

The optimal assignment (minimum) cost = ₹ 35

Related Topics

Privacy Policy , Terms and Conditions , DMCA Policy and Compliant

Copyright © 2018-2023 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.

HungarianAlgorithm.com

Index     Assignment problem     Hungarian algorithm     Solve online    

The Hungarian algorithm

The Hungarian algorithm consists of the four steps below. The first two steps are executed once, while Steps 3 and 4 are repeated until an optimal assignment is found. The input of the algorithm is an n by n square matrix with only nonnegative elements.

Step 1: Subtract row minima

For each row, find the lowest element and subtract it from each element in that row.

Step 2: Subtract column minima

Similarly, for each column, find the lowest element and subtract it from each element in that column.

Step 3: Cover all zeros with a minimum number of lines

Cover all zeros in the resulting matrix using a minimum number of horizontal and vertical lines. If n lines are required, an optimal assignment exists among the zeros. The algorithm stops.

If less than n lines are required, continue with Step 4.

Step 4: Create additional zeros

Find the smallest element (call it k ) that is not covered by a line in Step 3. Subtract k from all uncovered elements, and add k to all elements that are covered twice.

Continue with:

The Hungarian algorithm explained based on an example.

The Hungarian algorithm explained based on a self chosen or on a random cost matrix.

HungarianAlgorithm.com © 2013-2024

IMAGES

  1. How to Solve an Assignment Problem Using the Hungarian Method

    assignment problem calculator hungarian

  2. Assignment Problem

    assignment problem calculator hungarian

  3. explain the steps in the hungarian method used for solving assignment

    assignment problem calculator hungarian

  4. Hungarian Algorithm for Assignment Problem

    assignment problem calculator hungarian

  5. assignment problem optimization |hungarian method|assignment problem maximization hungarian method

    assignment problem calculator hungarian

  6. Hungarian Algorithm for Assignment Problem

    assignment problem calculator hungarian

VIDEO

  1. Assignment in Ms Excel

  2. HUNGARIAN METHOD||ASSIGNMENT PROBLEM ||OPERATIONS RESEARCH|| Lecture

  3. (2 of 2) Assignment Problem

  4. Chapter 5 : ( Assignment problem : Hungarian method )

  5. 2. Minimal Assignment problem {Hungarian Method}

  6. Assignment problem Hungarian Method Part1

COMMENTS

  1. Solve the assignment problem online

    Solve an assignment problem online. Fill in the cost matrix of an assignment problem and click on 'Solve'. The optimal assignment will be determined and a step by step explanation of the hungarian algorithm will be given. Fill in the cost matrix (random cost matrix):

  2. Hungarian method calculator

    Operation Research - Assignment problem calculator - Find solution of Assignment Problem Hungarian method, step-by-step online. We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies.

  3. Hungarian Algorithm Calculator Online

    The Hungarian Algorithm Calculator is a powerful tool used to solve optimization problems known as the assignment problem. It finds the optimal assignment of tasks to resources, minimizing the total cost or maximizing the total profit. This calculator employs the Hungarian algorithm, a method that efficiently solves assignment problems by ...

  4. HungarianAlgorithm.com

    The assignment problem. The assignment problem deals with assigning machines to tasks, workers to jobs, soccer players to positions, and so on. The goal is to determine the optimum assignment that, for example, minimizes the total cost or maximizes the team effectiveness. Read more on the assignment problem.

  5. Operation Research calculators

    Operation Research Calculators ( examples ) 1.Assignment problem 1.1 Assignment problem (Using Hungarian method-2) 1.2 Assignment problem (Using Hungarian method-1) 2.1 Travelling salesman problem using hungarian method 2.2 Travelling salesman problem using branch and bound (penalty) method 2.3 Travelling salesman problem using branch and bound ...

  6. Online Calculator: Hungarian Method

    Mobile app: Solve linear programming tasks offline! The solution of the transport problem by the Hungarian method. Complete, detailed, step-by-step description of solutions. Hungarian method, dual simplex, matrix games, potential method, traveling salesman problem, dynamic programming.

  7. The Assignment Problem

    The total time required is then 69 + 37 + 11 + 23 = 140 minutes. All other assignments lead to a larger amount of time required. The Hungarian algorithm can be used to find this optimal assignment. The steps of the Hungarian algorithm can be found here, and an explanation of the Hungarian algorithm based on the example above can be found here.

  8. Hungarian Algorithm Calculator

    Hungarian algorithm is used for the optimal assignment of jobs to workers in one-to-one manner and to reduce the cost of the assignment. In this calculator, you can solve the work assignment problem with the hungarian algorithm. Just copy and paste the below code to your webpage where you want to display this calculator.

  9. Assignment Problem Calculator

    Assignment Problem Calculator. This application solves the assignment problem using the Hungarian algorithm. The linear assigment problems with the objecttive of maximizing profit or minimizing cost can be solved with this calculator. For example, you want to hire three workers to do three tasks. The cost/task of the workers is shown in the ...

  10. How to Solve an Assignment Problem Using the Hungarian Method

    In this lesson we learn what is an assignment problem and how we can solve it using the Hungarian method.

  11. Hungarian Method

    The Hungarian method is a computational optimization technique that addresses the assignment problem in polynomial time and foreshadows following primal-dual alternatives. In 1955, Harold Kuhn used the term "Hungarian method" to honour two Hungarian mathematicians, Dénes Kőnig and Jenő Egerváry. Let's go through the steps of the Hungarian method with the help of a solved example.

  12. Hungarian algorithm

    The Hungarian method is a combinatorial optimization algorithm that solves the assignment problem in polynomial time and which anticipated later primal-dual methods.It was developed and published in 1955 by Harold Kuhn, who gave it the name "Hungarian method" because the algorithm was largely based on the earlier works of two Hungarian mathematicians, Dénes Kőnig and Jenő Egerváry.

  13. Assignment Problem Calculator

    The free assignment problem calculator offers a smart and agile user interface. The free Hungarian algorithm calculator tool checks for equational accuracy across hundreds and thousands of databases. The tool is designed to solve assignment problems with 100% theoretical and referential accuracy so that you don't ever have to face the downsides ...

  14. Hungarian Algorithm for Assignment Problem

    Time complexity : O(n^3), where n is the number of workers and jobs. This is because the algorithm implements the Hungarian algorithm, which is known to have a time complexity of O(n^3). Space complexity : O(n^2), where n is the number of workers and jobs.This is because the algorithm uses a 2D cost matrix of size n x n to store the costs of assigning each worker to a job, and additional ...

  15. Solve the assignment problem online

    Solve an assignment problem online. Fill in the cost matrix of an assignment problem and click on 'Solve'. The optimal assignment will be determined and a step by step explanation of the hungarian algorithm will be given. Fill in the cost matrix (random cost matrix): Size: 3x3 4x4 5x5 6x6 7x7 8x8 9x9 10x10

  16. PDF Hungarian method for assignment problem

    Hungarian method for assignment problem Step 1. Subtract the entries of each row by the row minimum. Step 2. Subtract the entries of each column by the column minimum. Step 3. Make an assignment to the zero entries in the resulting matrix. A = M 17 10 15 17 18 M 6 10 20 12 5 M 14 19 12 11 15 M 7 16 21 18 6 M −10

  17. The Hungarian Algorithm for the Assignment Problem

    The Hungarian method is a combinatorial optimization algorithm which solves the assignment problem in polynomial time . Later it was discovered that it was a primal-dual Simplex method.. It was developed and published by Harold Kuhn in 1955, who gave the name "Hungarian method" because the algorithm was largely based on the earlier works of two Hungarian mathematicians: Denes Konig and Jeno ...

  18. Assignment Problem Calculator

    Unlike the assignment problem calculators on other websites, you can be assured of getting accurate results without putting in much effort on Assignmenthelp.us. Our assignment problem calculator is easy to use and can easily take you through any assignment problem. Use our Hungarian algorithm calculator without having any second thoughts.

  19. An Assignment Problem solved using the Hungarian Algorithm

    The Hungarian algorithm: An example. We consider an example where four jobs (J1, J2, J3, and J4) need to be executed by four workers (W1, W2, W3, and W4), one job per worker. The matrix below shows the cost of assigning a certain worker to a certain job. The objective is to minimize the total cost of the assignment.

  20. Hungarian Method Examples, Assignment Problem

    Example 1: Hungarian Method. The Funny Toys Company has four men available for work on four separate jobs. Only one man can work on any one job. The cost of assigning each man to each job is given in the following table. The objective is to assign men to jobs in such a way that the total cost of assignment is minimum. Job.

  21. Solution of assignment problems (Hungarian Method)

    Step :4 If each row and each column contains exactly one assignment, then the solution is optimal. Example 10.7. Solve the following assignment problem. Cell values represent cost of assigning job A, B, C and D to the machines I, II, III and IV. Solution: Here the number of rows and columns are equal. ∴ The given assignment problem is ...

  22. Hungarian Method Calculator

    Hungarian method calculator - Free download as PDF File (.pdf), Text File (.txt) or read online for free. This document describes how to solve an assignment problem using the Hungarian method. It provides an example with 6 jobs and 6 workers. The goal is to maximize the total value of assignments. It shows the step-by-step process of converting the problem to minimization, finding minimum ...

  23. Steps of the Hungarian Algorithm

    The Hungarian algorithm consists of the four steps below. The first two steps are executed once, while Steps 3 and 4 are repeated until an optimal assignment is found. The input of the algorithm is an n by n square matrix with only nonnegative elements. Step 1: Subtract row minima.